Spectral collocation method for linear fractional integro-differential equations (Q1994458)

scientific article; zbMATH DE number 6970369

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English	Spectral collocation method for linear fractional integro-differential equations	scientific article; zbMATH DE number 6970369

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instance of

scholarly article

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title

Spectral collocation method for linear fractional integro-differential equations (English)

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Applied Mathematical Modelling

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publication date

1 November 2018

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zbMATH Keywords

fractional differential equation

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Caputo derivative

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Volterra integral equation

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spectral method

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convergence analysis

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.apm.2013.08.013

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cites work

Q4233638

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The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type

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On the convergence of spline collocation methods for solving fractional differential equations

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Spline collocation methods for linear multi-term fractional differential equations

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Q3141902

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Numerical methods for fourth-order fractional integro-differential equations

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Solution of fractional integro-differential equations by using fractional differential transform method

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Application of the fractional differential transform method to fractional-order integro-differential equations with nonlocal boundary conditions

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Numerical solution of fractional integro-differential equations by collocation method

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Approximate solution of fractional integro-differential equations by Taylor expansion method

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Efficient solution of multi-term fractional differential equations using P(EC)\(^m\)E methods

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Fractional high order methods for the nonlinear fractional ordinary differential equation

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Numerical solution of the space fractional Fokker-Planck equation.

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Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

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Chebyshev spectral solution of nonlinear Volterra-Hammerstein integral equations

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Q5319785

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Q3572296

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Spectral methods for pantograph-type differential and integral equations with multiple delays

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On spectral methods for Volterra-type integro-differential equations

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An extension of the spectral tau method for numerical solution of multi-order fractional differential equations with convergence analysis

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Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations

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A new Jacobi operational matrix: an application for solving fractional differential equations

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A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations

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On shifted Jacobi spectral method for high-order multi-point boundary value problems

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A shifted Jacobi-Gauss-Lobatto collocation method for solving nonlinear fractional Langevin equation involving two fractional orders in different intervals

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Spectral methods for weakly singular Volterra integral equations with smooth solutions

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Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel

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Convergence Analysis of the Spectral Methods for Weakly Singular Volterra Integro-Differential Equations with Smooth Solutions

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Collocation Methods for Volterra Integral and Related Functional Differential Equations

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Spectral Methods

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The Numerical Solution of Nonlinear Volterra Integral Equations of the Second Kind by Collocation and Iterated Collocation Methods

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Iterated Collocation Methods and Their Discretizations for Volterra Integral Equations

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Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey

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Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in \(\mathbb R^3\)

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The Numerical Solution of Integral Equations of the Second Kind

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Identifiers

zbMATH Open document ID

1427.65421

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Mathematics Subject Classification ID

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10.1016/J.APM.2013.08.013

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Sitelinks

Mathematics(1 entry)

mardi Publication:1994458